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Twenty-seven persons attend a party - Trickyquestion

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Twenty-seven persons attend a party - Trickyquestion [#permalink] New post 16 Apr 2010, 03:27
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Twenty-seven persons attend a party. Which one of the following statements can never be true?
1. There is a person in the party who is acquainted with all the twenty-six others.
2. Each person in the party has a different number of acquaintances.
3. There is a person in the party who has an odd number of acquaintances.
4. In the party, there is no set of three mutual acquaintances.
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Re: Twenty-seven persons attend a party - Trickyquestion [#permalink] New post 16 Apr 2010, 05:45
Twenty-seven persons attend a party. Which one of the following statements can never be true?
1. There is a person in the party who is acquainted with all the twenty-six others.
possible since you have 1 know other 26...

2. Each person in the party has a different number of acquaintances.
seems like this one can never happen.

3. There is a person in the party who has an odd number of acquaintances.
it can happen

4. In the party, there is no set of three mutual acquaintances.
???


are you making these questions up? there are usually 5 answers to PS questions...
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Re: Twenty-seven persons attend a party - Trickyquestion [#permalink] New post 16 Apr 2010, 06:52
ykaiim wrote:
Twenty-seven persons attend a party. Which one of the following statements can never be true?
1. There is a person in the party who is acquainted with all the twenty-six others.
2. Each person in the party has a different number of acquaintances.
3. There is a person in the party who has an odd number of acquaintances.
4. In the party, there is no set of three mutual acquaintances.

What is the source of the question? Normally it should have five choices in all GMAT question. It seems to be non GMAT word problem.
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Re: Twenty-seven persons attend a party - Trickyquestion [#permalink] New post 16 Apr 2010, 12:17
whenever you post any question, do put the source.
This will help us in better way.
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Re: Twenty-seven persons attend a party - Trickyquestion   [#permalink] 16 Apr 2010, 12:17
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